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Finding the Fourth Proportional to 8,245.38, 11,378.63 and 4,708.51

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Solution

The fourth proportional to 8,245.38, 11,378.63 and 4,708.51 is: 6,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.38 : 11,378.63 = 4,708.51 : x
  2. Step 2: Convert to fraction form
    8,245.38/11,378.63 = 4,708.51/x
  3. Step 3: Cross multiply
    8,245.38x = 11,378.63 × 4,708.51
  4. Step 4: Simplify right side
    8,245.38x = 53,576,393.14
  5. Step 5: Solve for x
    x = 53,576,393.14/8,245.38
  6. Step 6: Final answer
    x = 6,497.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.